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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math3.distribution;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math3.exception.NumberIsTooLargeException;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.random.RandomGenerator;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.random.Well19937c;<a name="line.23"></a>
<FONT color="green">024</FONT>    <a name="line.24"></a>
<FONT color="green">025</FONT>    /**<a name="line.25"></a>
<FONT color="green">026</FONT>     * Implementation of the uniform real distribution.<a name="line.26"></a>
<FONT color="green">027</FONT>     *<a name="line.27"></a>
<FONT color="green">028</FONT>     * @see &lt;a href="http://en.wikipedia.org/wiki/Uniform_distribution_(continuous)"<a name="line.28"></a>
<FONT color="green">029</FONT>     * &gt;Uniform distribution (continuous), at Wikipedia&lt;/a&gt;<a name="line.29"></a>
<FONT color="green">030</FONT>     *<a name="line.30"></a>
<FONT color="green">031</FONT>     * @version $Id: UniformRealDistribution.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.31"></a>
<FONT color="green">032</FONT>     * @since 3.0<a name="line.32"></a>
<FONT color="green">033</FONT>     */<a name="line.33"></a>
<FONT color="green">034</FONT>    public class UniformRealDistribution extends AbstractRealDistribution {<a name="line.34"></a>
<FONT color="green">035</FONT>        /** Default inverse cumulative probability accuracy. */<a name="line.35"></a>
<FONT color="green">036</FONT>        public static final double DEFAULT_INVERSE_ABSOLUTE_ACCURACY = 1e-9;<a name="line.36"></a>
<FONT color="green">037</FONT>        /** Serializable version identifier. */<a name="line.37"></a>
<FONT color="green">038</FONT>        private static final long serialVersionUID = 20120109L;<a name="line.38"></a>
<FONT color="green">039</FONT>        /** Lower bound of this distribution (inclusive). */<a name="line.39"></a>
<FONT color="green">040</FONT>        private final double lower;<a name="line.40"></a>
<FONT color="green">041</FONT>        /** Upper bound of this distribution (exclusive). */<a name="line.41"></a>
<FONT color="green">042</FONT>        private final double upper;<a name="line.42"></a>
<FONT color="green">043</FONT>        /** Inverse cumulative probability accuracy. */<a name="line.43"></a>
<FONT color="green">044</FONT>        private final double solverAbsoluteAccuracy;<a name="line.44"></a>
<FONT color="green">045</FONT>    <a name="line.45"></a>
<FONT color="green">046</FONT>        /**<a name="line.46"></a>
<FONT color="green">047</FONT>         * Create a standard uniform real distribution with lower bound (inclusive)<a name="line.47"></a>
<FONT color="green">048</FONT>         * equal to zero and upper bound (exclusive) equal to one.<a name="line.48"></a>
<FONT color="green">049</FONT>         */<a name="line.49"></a>
<FONT color="green">050</FONT>        public UniformRealDistribution() {<a name="line.50"></a>
<FONT color="green">051</FONT>            this(0, 1);<a name="line.51"></a>
<FONT color="green">052</FONT>        }<a name="line.52"></a>
<FONT color="green">053</FONT>    <a name="line.53"></a>
<FONT color="green">054</FONT>        /**<a name="line.54"></a>
<FONT color="green">055</FONT>         * Create a uniform real distribution using the given lower and upper<a name="line.55"></a>
<FONT color="green">056</FONT>         * bounds.<a name="line.56"></a>
<FONT color="green">057</FONT>         *<a name="line.57"></a>
<FONT color="green">058</FONT>         * @param lower Lower bound of this distribution (inclusive).<a name="line.58"></a>
<FONT color="green">059</FONT>         * @param upper Upper bound of this distribution (exclusive).<a name="line.59"></a>
<FONT color="green">060</FONT>         * @throws NumberIsTooLargeException if {@code lower &gt;= upper}.<a name="line.60"></a>
<FONT color="green">061</FONT>         */<a name="line.61"></a>
<FONT color="green">062</FONT>        public UniformRealDistribution(double lower, double upper)<a name="line.62"></a>
<FONT color="green">063</FONT>            throws NumberIsTooLargeException {<a name="line.63"></a>
<FONT color="green">064</FONT>            this(lower, upper, DEFAULT_INVERSE_ABSOLUTE_ACCURACY);<a name="line.64"></a>
<FONT color="green">065</FONT>        }<a name="line.65"></a>
<FONT color="green">066</FONT>    <a name="line.66"></a>
<FONT color="green">067</FONT>        /**<a name="line.67"></a>
<FONT color="green">068</FONT>         * Create a uniform distribution.<a name="line.68"></a>
<FONT color="green">069</FONT>         *<a name="line.69"></a>
<FONT color="green">070</FONT>         * @param lower Lower bound of this distribution (inclusive).<a name="line.70"></a>
<FONT color="green">071</FONT>         * @param upper Upper bound of this distribution (exclusive).<a name="line.71"></a>
<FONT color="green">072</FONT>         * @param inverseCumAccuracy Inverse cumulative probability accuracy.<a name="line.72"></a>
<FONT color="green">073</FONT>         * @throws NumberIsTooLargeException if {@code lower &gt;= upper}.<a name="line.73"></a>
<FONT color="green">074</FONT>         */<a name="line.74"></a>
<FONT color="green">075</FONT>        public UniformRealDistribution(double lower, double upper, double inverseCumAccuracy)<a name="line.75"></a>
<FONT color="green">076</FONT>            throws NumberIsTooLargeException {<a name="line.76"></a>
<FONT color="green">077</FONT>            this(new  Well19937c(), lower, upper, inverseCumAccuracy);<a name="line.77"></a>
<FONT color="green">078</FONT>        }<a name="line.78"></a>
<FONT color="green">079</FONT>    <a name="line.79"></a>
<FONT color="green">080</FONT>        /**<a name="line.80"></a>
<FONT color="green">081</FONT>         * Creates a uniform distribution.<a name="line.81"></a>
<FONT color="green">082</FONT>         *<a name="line.82"></a>
<FONT color="green">083</FONT>         * @param rng Random number generator.<a name="line.83"></a>
<FONT color="green">084</FONT>         * @param lower Lower bound of this distribution (inclusive).<a name="line.84"></a>
<FONT color="green">085</FONT>         * @param upper Upper bound of this distribution (exclusive).<a name="line.85"></a>
<FONT color="green">086</FONT>         * @param inverseCumAccuracy Inverse cumulative probability accuracy.<a name="line.86"></a>
<FONT color="green">087</FONT>         * @throws NumberIsTooLargeException if {@code lower &gt;= upper}.<a name="line.87"></a>
<FONT color="green">088</FONT>         * @since 3.1<a name="line.88"></a>
<FONT color="green">089</FONT>         */<a name="line.89"></a>
<FONT color="green">090</FONT>        public UniformRealDistribution(RandomGenerator rng,<a name="line.90"></a>
<FONT color="green">091</FONT>                                       double lower,<a name="line.91"></a>
<FONT color="green">092</FONT>                                       double upper,<a name="line.92"></a>
<FONT color="green">093</FONT>                                       double inverseCumAccuracy)<a name="line.93"></a>
<FONT color="green">094</FONT>            throws NumberIsTooLargeException {<a name="line.94"></a>
<FONT color="green">095</FONT>            super(rng);<a name="line.95"></a>
<FONT color="green">096</FONT>            if (lower &gt;= upper) {<a name="line.96"></a>
<FONT color="green">097</FONT>                throw new NumberIsTooLargeException(<a name="line.97"></a>
<FONT color="green">098</FONT>                                LocalizedFormats.LOWER_BOUND_NOT_BELOW_UPPER_BOUND,<a name="line.98"></a>
<FONT color="green">099</FONT>                                lower, upper, false);<a name="line.99"></a>
<FONT color="green">100</FONT>            }<a name="line.100"></a>
<FONT color="green">101</FONT>    <a name="line.101"></a>
<FONT color="green">102</FONT>            this.lower = lower;<a name="line.102"></a>
<FONT color="green">103</FONT>            this.upper = upper;<a name="line.103"></a>
<FONT color="green">104</FONT>            solverAbsoluteAccuracy = inverseCumAccuracy;<a name="line.104"></a>
<FONT color="green">105</FONT>        }<a name="line.105"></a>
<FONT color="green">106</FONT>    <a name="line.106"></a>
<FONT color="green">107</FONT>        /** {@inheritDoc} */<a name="line.107"></a>
<FONT color="green">108</FONT>        public double density(double x) {<a name="line.108"></a>
<FONT color="green">109</FONT>            if (x &lt; lower || x &gt; upper) {<a name="line.109"></a>
<FONT color="green">110</FONT>                return 0.0;<a name="line.110"></a>
<FONT color="green">111</FONT>            }<a name="line.111"></a>
<FONT color="green">112</FONT>            return 1 / (upper - lower);<a name="line.112"></a>
<FONT color="green">113</FONT>        }<a name="line.113"></a>
<FONT color="green">114</FONT>    <a name="line.114"></a>
<FONT color="green">115</FONT>        /** {@inheritDoc} */<a name="line.115"></a>
<FONT color="green">116</FONT>        public double cumulativeProbability(double x)  {<a name="line.116"></a>
<FONT color="green">117</FONT>            if (x &lt;= lower) {<a name="line.117"></a>
<FONT color="green">118</FONT>                return 0;<a name="line.118"></a>
<FONT color="green">119</FONT>            }<a name="line.119"></a>
<FONT color="green">120</FONT>            if (x &gt;= upper) {<a name="line.120"></a>
<FONT color="green">121</FONT>                return 1;<a name="line.121"></a>
<FONT color="green">122</FONT>            }<a name="line.122"></a>
<FONT color="green">123</FONT>            return (x - lower) / (upper - lower);<a name="line.123"></a>
<FONT color="green">124</FONT>        }<a name="line.124"></a>
<FONT color="green">125</FONT>    <a name="line.125"></a>
<FONT color="green">126</FONT>        /** {@inheritDoc} */<a name="line.126"></a>
<FONT color="green">127</FONT>        @Override<a name="line.127"></a>
<FONT color="green">128</FONT>        protected double getSolverAbsoluteAccuracy() {<a name="line.128"></a>
<FONT color="green">129</FONT>            return solverAbsoluteAccuracy;<a name="line.129"></a>
<FONT color="green">130</FONT>        }<a name="line.130"></a>
<FONT color="green">131</FONT>    <a name="line.131"></a>
<FONT color="green">132</FONT>        /**<a name="line.132"></a>
<FONT color="green">133</FONT>         * {@inheritDoc}<a name="line.133"></a>
<FONT color="green">134</FONT>         *<a name="line.134"></a>
<FONT color="green">135</FONT>         * For lower bound {@code lower} and upper bound {@code upper}, the mean is<a name="line.135"></a>
<FONT color="green">136</FONT>         * {@code 0.5 * (lower + upper)}.<a name="line.136"></a>
<FONT color="green">137</FONT>         */<a name="line.137"></a>
<FONT color="green">138</FONT>        public double getNumericalMean() {<a name="line.138"></a>
<FONT color="green">139</FONT>            return 0.5 * (lower + upper);<a name="line.139"></a>
<FONT color="green">140</FONT>        }<a name="line.140"></a>
<FONT color="green">141</FONT>    <a name="line.141"></a>
<FONT color="green">142</FONT>        /**<a name="line.142"></a>
<FONT color="green">143</FONT>         * {@inheritDoc}<a name="line.143"></a>
<FONT color="green">144</FONT>         *<a name="line.144"></a>
<FONT color="green">145</FONT>         * For lower bound {@code lower} and upper bound {@code upper}, the<a name="line.145"></a>
<FONT color="green">146</FONT>         * variance is {@code (upper - lower)^2 / 12}.<a name="line.146"></a>
<FONT color="green">147</FONT>         */<a name="line.147"></a>
<FONT color="green">148</FONT>        public double getNumericalVariance() {<a name="line.148"></a>
<FONT color="green">149</FONT>            double ul = upper - lower;<a name="line.149"></a>
<FONT color="green">150</FONT>            return ul * ul / 12;<a name="line.150"></a>
<FONT color="green">151</FONT>        }<a name="line.151"></a>
<FONT color="green">152</FONT>    <a name="line.152"></a>
<FONT color="green">153</FONT>        /**<a name="line.153"></a>
<FONT color="green">154</FONT>         * {@inheritDoc}<a name="line.154"></a>
<FONT color="green">155</FONT>         *<a name="line.155"></a>
<FONT color="green">156</FONT>         * The lower bound of the support is equal to the lower bound parameter<a name="line.156"></a>
<FONT color="green">157</FONT>         * of the distribution.<a name="line.157"></a>
<FONT color="green">158</FONT>         *<a name="line.158"></a>
<FONT color="green">159</FONT>         * @return lower bound of the support<a name="line.159"></a>
<FONT color="green">160</FONT>         */<a name="line.160"></a>
<FONT color="green">161</FONT>        public double getSupportLowerBound() {<a name="line.161"></a>
<FONT color="green">162</FONT>            return lower;<a name="line.162"></a>
<FONT color="green">163</FONT>        }<a name="line.163"></a>
<FONT color="green">164</FONT>    <a name="line.164"></a>
<FONT color="green">165</FONT>        /**<a name="line.165"></a>
<FONT color="green">166</FONT>         * {@inheritDoc}<a name="line.166"></a>
<FONT color="green">167</FONT>         *<a name="line.167"></a>
<FONT color="green">168</FONT>         * The upper bound of the support is equal to the upper bound parameter<a name="line.168"></a>
<FONT color="green">169</FONT>         * of the distribution.<a name="line.169"></a>
<FONT color="green">170</FONT>         *<a name="line.170"></a>
<FONT color="green">171</FONT>         * @return upper bound of the support<a name="line.171"></a>
<FONT color="green">172</FONT>         */<a name="line.172"></a>
<FONT color="green">173</FONT>        public double getSupportUpperBound() {<a name="line.173"></a>
<FONT color="green">174</FONT>            return upper;<a name="line.174"></a>
<FONT color="green">175</FONT>        }<a name="line.175"></a>
<FONT color="green">176</FONT>    <a name="line.176"></a>
<FONT color="green">177</FONT>        /** {@inheritDoc} */<a name="line.177"></a>
<FONT color="green">178</FONT>        public boolean isSupportLowerBoundInclusive() {<a name="line.178"></a>
<FONT color="green">179</FONT>            return true;<a name="line.179"></a>
<FONT color="green">180</FONT>        }<a name="line.180"></a>
<FONT color="green">181</FONT>    <a name="line.181"></a>
<FONT color="green">182</FONT>        /** {@inheritDoc} */<a name="line.182"></a>
<FONT color="green">183</FONT>        public boolean isSupportUpperBoundInclusive() {<a name="line.183"></a>
<FONT color="green">184</FONT>            return true;<a name="line.184"></a>
<FONT color="green">185</FONT>        }<a name="line.185"></a>
<FONT color="green">186</FONT>    <a name="line.186"></a>
<FONT color="green">187</FONT>        /**<a name="line.187"></a>
<FONT color="green">188</FONT>         * {@inheritDoc}<a name="line.188"></a>
<FONT color="green">189</FONT>         *<a name="line.189"></a>
<FONT color="green">190</FONT>         * The support of this distribution is connected.<a name="line.190"></a>
<FONT color="green">191</FONT>         *<a name="line.191"></a>
<FONT color="green">192</FONT>         * @return {@code true}<a name="line.192"></a>
<FONT color="green">193</FONT>         */<a name="line.193"></a>
<FONT color="green">194</FONT>        public boolean isSupportConnected() {<a name="line.194"></a>
<FONT color="green">195</FONT>            return true;<a name="line.195"></a>
<FONT color="green">196</FONT>        }<a name="line.196"></a>
<FONT color="green">197</FONT>    <a name="line.197"></a>
<FONT color="green">198</FONT>        /** {@inheritDoc} */<a name="line.198"></a>
<FONT color="green">199</FONT>        @Override<a name="line.199"></a>
<FONT color="green">200</FONT>        public double sample()  {<a name="line.200"></a>
<FONT color="green">201</FONT>            final double u = random.nextDouble();<a name="line.201"></a>
<FONT color="green">202</FONT>            return u * upper + (1 - u) * lower;<a name="line.202"></a>
<FONT color="green">203</FONT>        }<a name="line.203"></a>
<FONT color="green">204</FONT>    }<a name="line.204"></a>




























































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